Search a number
-
+
9900111111111 = 331322169649597
BaseRepresentation
bin1001000000010000110010…
…0110110010001111000111
31022001102220202122221101000
42100010030212302033013
52244200411421023421
633020014231304343
72041154660656014
oct220041446621707
938042822587330
109900111111111
113177682699391
12113a85b21b0b3
1356a76567cb00
1426324cb5270b
151227d0855226
hex9010c9b23c7

9900111111111 has 24 divisors (see below), whose sum is σ = 15881835057360. Its totient is φ = 6092376065568.

The previous prime is 9900111111097. The next prime is 9900111111157. The reversal of 9900111111111 is 1111111110099.

It is not a de Polignac number, because 9900111111111 - 215 = 9900111078343 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

9900111111111 is a modest number, since divided by 1111111 gives 990011 as remainder.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9900111111211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1084820236 + ... + 1084829361.

It is an arithmetic number, because the mean of its divisors is an integer number (661743127390).

Almost surely, 29900111111111 is an apocalyptic number.

9900111111111 is a deficient number, since it is larger than the sum of its proper divisors (5981723946249).

9900111111111 is a wasteful number, since it uses less digits than its factorization.

9900111111111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169649632 (or 2169649613 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 27.

The spelling of 9900111111111 in words is "nine trillion, nine hundred billion, one hundred eleven million, one hundred eleven thousand, one hundred eleven".

Divisors: 1 3 9 13 27 39 117 169 351 507 1521 4563 2169649597 6508948791 19526846373 28205444761 58580539119 84616334283 253849002849 366670781893 761547008547 1100012345679 3300037037037 9900111111111